CBMS Regional Conference Series in Mathematics 1976; 84 pp; softcover Number: 25 Reprint/Revision History: reprinted 2001 ISBN10: 0821816756 ISBN13: 9780821816752 List Price: US$29 Member Price: US$23.20 All Individuals: US$23.20 Order Code: CBMS/25
 This book reproduces a course of ten lectures given by the author, Karl W. Gruenberg, at the NSF Regional Conference at the University of WisconsinParkside in July 1974. The aim of the lectures was twofold: to show group theorists how the presentation theory of finite groups can nowadays be successfully approached with the help of integral representation theory, and to persuade ring theorists that here was an area of group theory well suited to applications of integral representation theory. The course was constructed so that only a modicum of either group theory or module theory would be presupposed of the audience. He has also drawn on lectures that he gave at the Australian Summer Research Institute held at the University of Sydney in 1971 and at the Australian National University at Canberra in 1974. Readership Reviews "An excellent account of the theory of the relation modules of finite groups."  M. J. Dunwoody, Mathematical Reviews Table of Contents  Introduction
 The Gaschütz theory
 Module theoretic preliminaries
 Projective modules
 Relation cores
 The presentation rank
 Swan modules
 Heller modules
 Decomposition of relation cores
 Epilogue
 References
 Explanation of, and index to, some notation and terminology
